Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 16 yr to 20 yr

The Muller family are on holiday in New Zealand. a. They change some euros (€) and receive $1962 (New Zealand dollars). The exch

Readme [11.4K]

Answer:

a. €1200;$1667.70

Step-by-step explanation:

a. Number of euros

$\text{euros} = \$1962 \times \dfrac{\text{1 euro}}{\text{\$1.635}} = \textbf{1200 euros}$

b. Dollars remaining

Dollars on hand = $1962.00

Less 15 % spent = 0.15 × 1962 = -294.30

Balance remaining = $1667.70

6 0

3 years ago

In Rivertown High School, about 30% of the students buy a raffle ticket. Given that a student buys a raffle ticket, there is a 1

lesya [120]

The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03

Step-by-step explanation:

Step 1 :

Given,

The percentage of students buying the raffle ticket = 30%

The percentage that the student who bought the ticket wins the prize = 10%

We need to determined the probability that randomly selected student will buy a raffle ticket and win a prize.

Step 2 :

The probability that a student buys the raffle ticket = $\frac{30}{100} = \frac{3}{10}$

The probability that a student wins a prize = $\frac{10}{100}$ = $\frac{1}{10}$

The probability that a student who buys the ticket wins a price can be computed by taking the product of the above 2 probabilities.

= $\frac{3}{10}$ × $\frac{1}{10}$ = $\frac{3}{100}$ = 0.03

Step 3 :

Answer :

The probability that that a randomly selected student will buy a raffle ticket and win a prize = 0.03

6 0

3 years ago

Find the axis of symmetry of the graph of the function. (5 points) f(x) = 3x2 + 12x + 9

Kryger [21]

Considering the definition of axis of symmetry, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

<h3>Axis of symmetry</h3>

An axis of symmetry is an imaginary reference line that, when dividing any shape into two parts, its opposite points are equidistant from each other, that is, they are symmetrical.

In other words, the axis of symmetry is a vertical line that divides the parabola into two congruent halves.

The axis of symmetry is the line perpendicular to the "x" axis that contains the vertex of the function, that is, it always passes through the vertex of the parabola. So the x-coordinate of the vertex is the equation of the axis of symmetry.

That is, in a quadratic function that has the form:

f(x)= ax² + bx + c

the axis of symmetry is a vertical line and it is defined as $x=\frac{-b}{2a}$ .

<h3>Axis of symmetry of f(x) = 3x² + 12x + 9</h3>

In this case, you know:

a= 3
b=12
c=9

Replacing in the definition of axis of symmetry:

$x=\frac{-12}{2x3}$

Solving:

$x=\frac{-12}{6}$

x= -2

Finally, the axis of symmetry of the graph of the function f(x) = 3x²+ 12x+ 9 is x=-2.

Learn more about axis of symmetry:

brainly.com/question/24737967

brainly.com/question/10473291

#SPJ1

3 0

2 years ago

Cost of an airplane flight increase from $250 to $260. What is the percentage increase?

Sedaia [141]

Answer:

Solution given:

Increase percentage= $\frac{260-250}{250}*100$ %

=4%

the percentage increase is 4%.

3 0

2 years ago

Read 2 more answers

Solve for x please, explantion is not nesscary but it would help me

Ber [7]

Answer:

x = 100 degrees

Step-by-step explanation:

There are 360 degrees total in this figure. Since 160 is already shown, we can subtract it from 360 to solve for x. 360 - 160 = 200. So, 200 degrees is split among the remaining values, which are 2 x's. Since each x has the same value, we can divide 200 evenly among the two of them. 200/2 = 100. So, x = 100.

P.S.: Sorry if this is long-winded, I haven't taken geometry in a while. I hope I explained it well enough for you and other Brainly users.

7 0

3 years ago